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Finding the Fourth Proportional to 11,548.78, 15,937.09 and 6,512.91

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Solution

The fourth proportional to 11,548.78, 15,937.09 and 6,512.91 is: 8,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.78 : 15,937.09 = 6,512.91 : x
  2. Step 2: Convert to fraction form
    11,548.78/15,937.09 = 6,512.91/x
  3. Step 3: Cross multiply
    11,548.78x = 15,937.09 × 6,512.91
  4. Step 4: Simplify right side
    11,548.78x = 103,796,756.79
  5. Step 5: Solve for x
    x = 103,796,756.79/11,548.78
  6. Step 6: Final answer
    x = 8,987.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.